Unit Test — Unit test Answers

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21
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Which is a factor of 144 − 49x2?

A
12 - 7x2
B
72 – 7x2
C
12 – 7x
D
72 + 7x
22
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Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

A
4m(75m2 + 30m +40)
B
10m(30m2 + 12m +18)
C
30(10m2 +4m + 60)
D
60(5m2 +2m +3)
23

The variables X, Y, and Z represent polynomials where X = a, Y = 3a – 5, and Z = a2 + 2. What is X2Y – Z in simplest form?

A
2a2 – 5a – 2
B
3a3 – 6a2 – 2
C
–3a3 – 2
D
–3a2 – 2
24

What is the factored form of the polynomial?z2 − 10z + 25

A
(z − 5)(z − 5)
B
(z + 5)(z + 5)
C
(z − 2)(z + 5)
D
(z + 2)(z − 5)
25

Four students are verifying thatx2 + x– 12 = (x – 3)(x + 4). Their conclusions are presented in the table.Which student correctly verified that x2 + x – 12 = (x – 3)(x + 4)?

Question illustration
A
Damien
B
Lauryn
C
Rico
D
Latisha
26

What is the greatest common factor of 8m, 36m3, and 12?

A
4
B
8
C
4m
D
8m
27

Which product of prime polynomials is equivalent to 4x5 – 6x4 + 4x3 – 6x2?

A
2x2(x2 + 1)(2x – 3)
B
2x2(x2 – 1)(2x + 3)
C
x2(x2 + 1)(2x – 3)
D
2(x2 – 1)(2x + 3)
28

What is the factorization of 81a6 - 100?

A
(9a2 − 10)(9a3 + 10)
B
(9a2 − 10)(9a3 − 10)
C
(9a3 − 10)(9a3 + 10)
D
(9a3 − 10)(9a3 − 10)
29

Which diagram represents the factors of m2 – 10m + 16 ?

A
A 2-column table with 2 rows. First column is labeled m with entries m squared, 4 m. Second column is labeled negative 6 with entries negative 6 m, 16. First row is labeled m with entries m squared, negative 6 m. Second row is labeled 4 with entries 4 m, 16.
Option A
B
A 2-column table with 2 rows. First column is labeled m with entries m squared, 2 m. Second column is labeled negative 8 with entries negative 8 m, 16. First row is labeled m with entries m squared, negative 8 m. Second row is labeled 2 with entries 2 m, 16.
Option B
C
A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 6 m. Second column is labeled negative 4 with entries negative 4 m, 16. First row is labeled m with entries m squared, negative 4 m. Second row is labeled negative 6 with entries negative 6 m, 16.
Option C
D
A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 8 m. Second column is labeled negative 2 with entries negative 2 m, 16. First row is labeled m with entries m squared, negative 2 m. Second row is labeled negative 8 with entries negative 8 m, 16.
Option D
30

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

A
x2
B
x5
C
x20
D
x100
31

Which expression is equivalent to 64y18 – 1000z6?

A
(4y6)3 – (10z2)3
B
(16y6)3 – (10z2)3
C
(16y6)3 – (100z2)3
D
(4y6)3 – (100z2)3
32

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?

A
2x−3
B
2x+3
C
3x−2
D
3x+2
33

Which polynomial is prime?

A
x2 + x + 1
B
x2 – x – 2
C
x2 – 12x + 11
D
x2 + 2x – 8
34

Mandisa draws a rectangle to represent the area of her yard. The area can be represented by 10x2 – 13x – 14.

Question illustration
A
(2x + 2) and (5x – 7)
B
(5x – 2) and (2x + 7)
C
(x – 2) and (10x + 7)
D
(10x + 2) and (x – 7)
35

What is the greatest common factor of the terms in the polynomial 12x4 + 2x3 –30x2?

A
x
B
x2
C
2x
D
2x2
36

Which monomial is a perfect cube?

A
1x10
B
8x8
C
9x9
D
27x15
37

Which is equivalent to , and what type of special product is it?

Question illustration
A
; a perfect square trinomial
Option A
B
; the difference of squares
Option B
C
; a perfect square trinomial
Option C
D
; the difference of squares
Option D
38

What is the factored form of the polynomial?x2 − 15x + 36

A
(x − 4)(x − 9)
B
(x − 3)(x − 12)
C
(x + 4)(x + 9)
D
(x + 3)(x + 12)
39

The model represents the factorization of 2x2+5x+3.

Question illustration
A
(2x+3)(x+1)
B
(2x−3)(x−1)
C
(3x+2)(x+1)
D
(3x−2)(x−1)
40

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

A
27x – 650
B
27x + 390
C
33x – 650
D
33x + 390

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